# 003: Statistical physics plays a huge role: in our daily life to building the rocket engine

Welcome back 🙏,

Until now we had a little talk about a mechanism of a rocket engine with respect to the movement and velocity of particles inside the boxes and how escape particles from the nozzle gives a negative momentum and assistances a rocket to move upwards. But have you read a very significant aspect that is mentioned in the last blog – A Gaussian’s & Maxwell Boltzmann distribution!!

Yes, absolutely there is so much to know and very less time to do work with our rocket launch project. We have to discuss some basic aspects of physics with you before we go further since these physics’ aspects will play a huge role and it is impossible to do astrophysics without these aspects. So

You might wonder what statistics has to do with the construction of a rocket engine. Let us tell you, to find out the thrust of a rocket engine, we need to simulate the gas particles that escapes from the nozzle and for that we need to know the velocities of each particle. In order to calculate these random velocities most possibility distribution functions are used.

*The Maxwell–Boltzmann Equation and the **d**istribution of**particles*** by Velocities**:

The Maxwell–Boltzmann distribution concerns the distribution of an amount of energy between identical but distinguishable particles. It represents the probability for the distribution of the states in a system having different energies. A special case is the so-called *Maxwell distribution law of **particle **velocities*. Maxwell introduced this law for the velocities of particles of a fluid (Maxwell, 1868), e.g. a gas or a liquid solution and gives the probability *P*(*v*) d*v* that the velocity *v* will be found in the infinitesimal range *v* to *v* + d*v* and gives the frequency of occurrence of the specific value *v* for the chosen velocity component *v _{x}, v_{y}, v_{z}* per each direction

*x, y, z*.Maxwell found that the particles are distributed by velocities following a skewed, bell-shaped plot figure shown down , given by the equation

Where *μ (muo) is the mean and σ(sigma) is the standard deviation*

*So what next !! *

*Meet you in the next part of the blogg!! DAB !!!*